手征微扰理论中幂次计数破缺项的扣除：无自旋物质场
Subtraction of power counting breaking terms in chiral perturbation theory: spinless matter fields
摘要：
当物质场包含在手征微扰论中时，手征极限中的非零质量引入了一个新的能量尺度，因此包含这种物质场传播子的回路图破坏了通常的功率计数。然而，功率计数破缺项可以被吸收到手征拉格朗日量中的反项中。在本文中，我们系统地推导出这些条款的领先一圈的顺序（下一个到下一个到领先的手征展开的顺序），通过计算生成功能使用路径积分。然后，它们被下一个领先阶拉格朗日量中的反项吸收。该方法可推广到其它物质场的功率计数破缺项的计算。
英文摘要：
When matter fields are included in chiral perturbation theory, the nonvanishing mass in the chiral limit introduces a new energy scale so that the loop diagrams including such matter field propagators spoil the usual power counting. However, the power counting breaking terms can be absorbed into counterterms in the chiral Lagrangian. In this paper, we systematically derive these terms to leading one-loop order (next-to-next-to leading order in the chiral expansion) at once by calculating the generating functional using the path integral. They are then absorbed by counterterms in the next-to-leading order Lagrangian. The method can be extended to calculating power counting breaking terms for other matter fields.
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